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UNIQUENESS FOR PLANE CRACK PROBLEMS IN LINEAR ELASTOSTATICS

The paper contains a proof of the uniqueness of solution to the traction boundary value problem in linear elastostatics for a bounded domain containing a crack. Attention is restricted to the two-dimensional case, but the elastic material considered need not be homogeneous or isotropic. In addition to the hypotheses assumed in the standard uniqueness theorem of Kirchhoff, it is required that the displacement field be bounded near the crack tips. (Author)

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California Institute of Technology

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